TY - JOUR T1 - A Finite Method for Computing the Drazin and Core-EP Inverses of Matrices Based on Partial Full-Rank Factorization AU - Chen , Xuzhou AU - Ji , Jun JO - Communications in Mathematical Research VL - 4 SP - 448 EP - 461 PY - 2021 DA - 2021/08 SN - 37 DO - http://doi.org/10.4208/cmr.2021-0008 UR - https://global-sci.org/intro/article_detail/cmr/19438.html KW - Core-EP inverse, Drazin inverse, finite method, full-rank factorization, partial full-rank factorization. AB -

This paper presents a formula for the Drazin inverses of matrices based on a sequence of partial full-rank factorizations which theoretically extends the classic full-rank factorization method for computing the Drazin inverses established by R.E. Cline. The result is then extended to the core-EP inverses.